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Let’s check out your problem:
Find the product. Simplify your answer.
\newline
(
2
y
+
3
)
(
4
y
+
3
)
(2y + 3)(4y + 3)
(
2
y
+
3
)
(
4
y
+
3
)
View step-by-step help
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Math Problems
Algebra 1
Multiply two binomials
Full solution
Q.
Find the product. Simplify your answer.
\newline
(
2
y
+
3
)
(
4
y
+
3
)
(2y + 3)(4y + 3)
(
2
y
+
3
)
(
4
y
+
3
)
Perform Multiplication:
Now, we will perform the multiplication for each term.
\newline
2
y
(
4
y
)
=
8
y
2
2y(4y) = 8y^2
2
y
(
4
y
)
=
8
y
2
(First)
\newline
2
y
(
3
)
=
6
y
2y(3) = 6y
2
y
(
3
)
=
6
y
(Outer)
\newline
3
(
4
y
)
=
12
y
3(4y) = 12y
3
(
4
y
)
=
12
y
(Inner)
\newline
3
(
3
)
=
9
3(3) = 9
3
(
3
)
=
9
(Last)
Add Terms Together:
Next, we will add all the terms together to get the simplified form.
\newline
(
2
y
+
3
)
(
4
y
+
3
)
=
8
y
2
+
6
y
+
12
y
+
9
(2y + 3)(4y + 3) = 8y^2 + 6y + 12y + 9
(
2
y
+
3
)
(
4
y
+
3
)
=
8
y
2
+
6
y
+
12
y
+
9
Combine Like Terms:
We will combine the like terms
6
y
6y
6
y
and
12
y
12y
12
y
to further simplify the expression.
\newline
8
y
2
+
6
y
+
12
y
+
9
=
8
y
2
+
(
6
y
+
12
y
)
+
9
8y^2 + 6y + 12y + 9 = 8y^2 + (6y + 12y) + 9
8
y
2
+
6
y
+
12
y
+
9
=
8
y
2
+
(
6
y
+
12
y
)
+
9
\newline
8
y
2
+
18
y
+
9
8y^2 + 18y + 9
8
y
2
+
18
y
+
9
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\newline
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\newline
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−
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\newline
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Question
Find the product. Simplify your answer.
\newline
(
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(
4
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+
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v
−
3
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\newline
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Question
Find the square. Simplify your answer.
\newline
(
3
y
+
2
)
2
(3y + 2)^2
(
3
y
+
2
)
2
\newline
______
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Question
Divide. If there is a remainder, include it as a simplified fraction.
\newline
(
24
t
2
+
36
t
)
÷
6
t
(24t^2 + 36t) \div 6t
(
24
t
2
+
36
t
)
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\newline
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Question
Is the function
q
(
x
)
=
x
6
−
9
q(x) = x^6 - 9
q
(
x
)
=
x
6
−
9
even, odd, or neither?
\newline
Choices:
\newline
[[even][odd][neither]]
\text{[[even][odd][neither]]}
[[even][odd][neither]]
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Posted 1 year ago
Question
Find the product. Simplify your answer.
\newline
−
3
q
2
(
−
3
q
2
+
q
)
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−
3
q
2
(
−
3
q
2
+
q
)
\newline
______
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Posted 1 year ago
Question
Find the product. Simplify your answer.
\newline
(
r
+
3
)
(
4
r
+
2
)
(r + 3)(4r + 2)
(
r
+
3
)
(
4
r
+
2
)
\newline
______
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Posted 1 year ago
Question
Find the roots of the factored polynomial.
\newline
(
x
+
7
)
(
x
+
4
)
(x + 7)(x + 4)
(
x
+
7
)
(
x
+
4
)
\newline
Write your answer as a list of values separated by commas.
\newline
x
=
x =
x
=
____
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Posted 1 year ago
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